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Finding the Fourth Proportional to 6,293.45, 8,684.25 and 3,641.69

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Solution

The fourth proportional to 6,293.45, 8,684.25 and 3,641.69 is: 5,025.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.45 : 8,684.25 = 3,641.69 : x
  2. Step 2: Convert to fraction form
    6,293.45/8,684.25 = 3,641.69/x
  3. Step 3: Cross multiply
    6,293.45x = 8,684.25 × 3,641.69
  4. Step 4: Simplify right side
    6,293.45x = 31,625,346.38
  5. Step 5: Solve for x
    x = 31,625,346.38/6,293.45
  6. Step 6: Final answer
    x = 5,025.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.